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Question P4–P5–P6 Units and parts

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Four workshops used paint to decorate murals for a festival.

Four workshops used paint to decorate murals for a festival. Workshop P used 6 litres less than Workshop Q. Workshop R used twice as much paint as Workshop Q. Workshop S used 3 litres less than Workshop R. In total the four workshops used 63 litres of paint. How many litres did Workshop S use?

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About this method

Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. Restore the 6-litre and 3-litre shortfalls first, so the adjusted total can be split into 6 equal Workshop-Q units.

In allone share

How to spot it

A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.

Common mistake

Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.

Practise a similar question

Standard Four classmates saved money for a class trip. Liam saved $15 less than Sara. Priya saved twice as much as Sara. Tom saved $9 less than Priya. Altogether the four classmates saved $126. How much did Tom save?
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